Linear fractional group as Galois group

arXiv2011.03373MaRDI QIDQ6353144

Lokenath Kundu

Publication date: 6 November 2020

Abstract: We compute all signatures of $PS{L}_2(mathbb{F}_7)$, and $PS{L}_2(mathbb{F}_{11})$ which classify all orientation preserving actions of the groups $PS{L}_2(mathbb{F}_7)$, and $PS{L}_2(mathbb{F}_{11})$ on compact, connected, orientable surfaces with orbifold genus $geq0$. This classification is well-grounded in the other branches of Mathematics like topology, smooth, and conformal geometry, algebraic categories, and it is also directly related to the inverse Galois problem.

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Finite simple groups and their classification (20D05) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

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